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Finding the Fourth Proportional to 217,075.80, 325,613.70 and 197,722.20

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Solution

The fourth proportional to 217,075.80, 325,613.70 and 197,722.20 is: 296,583.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,075.80 : 325,613.70 = 197,722.20 : x
  2. Step 2: Convert to fraction form
    217,075.80/325,613.70 = 197,722.20/x
  3. Step 3: Cross multiply
    217,075.80x = 325,613.70 × 197,722.20
  4. Step 4: Simplify right side
    217,075.80x = 64,381,057,114.14
  5. Step 5: Solve for x
    x = 64,381,057,114.14/217,075.80
  6. Step 6: Final answer
    x = 296,583.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.